Energy Conserved

A 4 kg block is placed at the edge of a horizontal,smooth, frictionless table as shown in the figure. A small sphere of mass 1 kg is suspended from the block by a massless string of 2m length.It is found that when a constant velocity in horizontal direction is imparted to the sphere, it reaches a maximum height of 1m from equilibrium position.If the initial velocity is \(a \text{ m/s}\) then find value of \(6a\).

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